Question

Which of the following is equal to square root of the cube root of 5?

5 to the power of 1 over 3

5 to the power of 1 over 6

5 to the power of 2 over 3

5 to the power of 3 over 2

Answer 1

\[\sqrt{\sqrt[3]{5}}\]like that?

Answer 2

yes

Answer 3

multiply the "indexes" \[2\times 3=6\]

Answer 4

use the rule!

Answer 5

so
\[\sqrt[6]{5}\]

Answer 6

always use the rule!

Answer 7

not sure what rule it is
then \[\huge \sqrt[6]{5}=5^{\frac{1}{6}}\]

Answer 8

That is what I was thinking, thanks to both of you!

Answer 9

Can you guys help me with another one?